Chaos Synchronization: Pecora-Carroll

Pecora & Carroll (1990): a chaotic system can synchronize a slave subsystem driven by the master's signal. Synchronization occurs when all conditional Lyapunov exponents of the response subsystem are negative.

Master: ẋ=f(x)
Slave: ẏ=g(y,x_s)
x_s: drive signal
Sync: |x-y|→0
Cond. Lyap: λ_cond<0
Sync error:
Status:
Cond. Lyap: